There are many conceivable ways to map 54edo onto the onto the Lumatone keyboard. However, it has 2 mutually-exclusive rings of fifths, so the Standard Lumatone mapping for Pythagorean is not one of them.
Diatonic
You can use the b val, but it is very flat, to the point where major seconds become 10/9 instead of 9/8.
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Diaschismic
Despite having a smaller range, the diaschismic mapping makes it much easier to play harmonics together.
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Nessafof (Porwell)
Bryan Deister has used the Nessafof (Porwell) layout for 54edo, as demonstrated in microtonal improvisation in 54edo (2025). At 7\54, the generator is a near-just septimal neutral second (~35/32), of which 2 make a slightly flat minor third ~6/5 (constituted in 54b), and 11 make a sharp ~8/3 (which corresponds to the 54b flat fifth). The 7L 1s scale (with a step ratio of 7:5) is expanded similar to the expanded Lumatone mapping for porcupine if represented as 7L 1s, but even more expanded. On the one hand, this makes octaves recede rapidly; but on the other hand, this also means that down and right gives a convenient ascending whole tone scale shared with 12edo, although this requires constituting the ~9/8 whole steps as (3♭ × 3♯) / 8. The range is four full octaves.
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